Model 7 Working with individual wages Practice Questions Answers Test with Solutions & More Shortcuts
time & work PRACTICE TEST [7 - EXERCISES]
Model 1 Basics on Time & Work
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Model 3 Man leaves & joins
Model 4 Working with Man, Woman, Child
Model 5 Split & Fraction of work
Model 6 Efficiency of the worker
Model 7 Working with individual wages
Question : 1 [SSC (South Zone) Investigator 2010]
20 men or 24 women can complete a piece of work in 20 days. If 30 men and 12 women undertake to complete the work, the work will be completed in
a) 16 days
b) 15 days
c) 10 days
d) 12 days
Answer »Answer: (c)
20 men ≡ 24 women
5 men ≡ 6 women
30 men + 12 women = 40 men
$M_1D_1 = M_2D_2$
20 × 20 = 40 × $D_2$
$D_2 = {20 × 20}/40$ = 10 days
Using Rule 12If A men or B boys can do a certain work in 'a' days, then $A_1$ men and $B_1$ boys can do the same work inTime taken = $a/{A_1/A + B_1/B} = {a(A . B)}/{A_1B + B_1A}$ days
Here, A = 20, B = 24, a = 20
$A_1 = 30, B_1$ = 12
Required time = ${a(A . B)}/{A_1B + B_1A}$
= ${20(20 × 24)}/{30 × 24 + 12 × 20}$
= $9600/{720 + 240} = 9600/960$ = 10 days
Question : 2 [SSC CGL Tier-I 2010]
7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days ?
a) 7
b) 14
c) 28
d) 21
Answer »Answer: (b)
Work | Days | Men |
1 | 12 | 7 |
↓ | ↑ | ↓ |
2 | 8 | x |
∴ ${1 : 2}/{8 : 12}]$ : : 7 : x
where, x is no. of men
1 × 8 × x = 2 × 12 × 7
$x = {7 × 12 × 2}/8 = 21$
Number of additional men = 21 - 7 = 14
Metod 2 : Using Rule 1,
$M_1D_1W_2 = M_2D_2W_1$
7 × 12 × 2 = $M_2$ × 8 × 1
$M_2 = {7 × 12 × 2}/8 = 21$
No. of additional men = 21 - 7 = 14
Question : 3 [SSC CPO S.I.2006]
Two persons can complete a piece of work in 9 days. How many more persons are needed to complete double the work in 12 days?
a) 1
b) 4
c) 3
d) 2
Answer »Answer: (c)
Work | Days | Persons |
1 | 9 | 2 |
↓ | ↑ | ↓ |
2 | 12 | x |
where x = number of persons
∴ ${1 : 2}/{12 : 9}]$ : : 2 : x
1×12 × x = 2 × 9 × 2
$x = {2 × 9 × 2}/12$ = 3
Using Rule 1,
Here, $M_1 = 2, W_1 = 1, D_1$ = 9
$M_2 = ?, W_2 = 2, D_2$ = 12
$M_1D_1W_2 = M_2D_2W_1$
2 × 9 × 2 = $M_2$ × 12 × 1
$M_2 = 36/12$ = 3
Question : 4 [SSC CGL Prelim 2003]
If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m?
a) 28
b) 18
c) 30
d) 10
Answer »Answer: (c)
Using Rule 1,
We know that
$W_1/{M_1D_1} = W_2/{M_2D_2}$
$280/{72 × 21} = 100/{x × 18}$
Where x = number of men
x × 18 × 280 = 100 × 72 × 21
$x = {100 × 72 × 21}/{18 × 280}$ = 30
Question : 5 [SSC CGL Tier-I 2015]
If 4 men or 8 women can do a piece of work in 15 days, in how many days can 6 men and 12 women do the same piece of work ?
a) 30 days
b) 15 days
c) 20 days
d) 5 days
Answer »Answer: (d)
4 men ≡ 8 women
1 man ≡ 2 women
6 men + 12 women
≡ 12 women + 12 women ≡ 24 women
$M_1D_1 = M_2D_2$
8 × 15 = 24 × $D_2$
$D_2 = {8 × 15}/24$ = 5 days
Using Rule 12,
Here, A = 4, B = 8, a = 15
$A_1 = 6, B_1$ = 12
Required number of days = ${a(A . B)}/{A_1B + B_1A}$
= ${15(4 × 8)}/{6 × 8 + 12 × 4}$
= ${15 × 32}/96$ = 5 days
IMPORTANT quantitative aptitude EXERCISES
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Top 200+ Time and Work Problem Solving By Formula Method »
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Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »
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Top 199+ Time and Work Questions Test on Fraction of Work »
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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New 299+ Time and Work Aptitude Test On Individual Wages »
Model 7 Working with individual wages Shortcuts »
Click to Read...Model 7 Working with individual wages Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
-
Model 1 Basics on Time & Work
Defination & Shortcuts … -
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Defination & Shortcuts … -
Model 3 Man leaves & joins
Defination & Shortcuts … -
Model 4 Working with Man, Woman, Child
Defination & Shortcuts … -
Model 5 Split & Fraction of work
Defination & Shortcuts … -
Model 6 Efficiency of the worker
Defination & Shortcuts … -
Model 7 Working with individual wages
Defination & Shortcuts …
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